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Finding the Third Proportional to 42,876 and 88,986

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Solution

The third proportional to 42,876 and 88,986 is: 184,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,876 : 88,986 = 88,986 : x
  2. Step 2: Convert to fraction form
    42,876/88,986 = 88,986/x
  3. Step 3: Cross multiply
    42,876x = 88,986 × 88,986
  4. Step 4: Simplify right side
    42,876x = 7,918,508,196
  5. Step 5: Solve for x
    x = 7,918,508,196/42,876
  6. Step 6: Final answer
    x = 184,683.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.